{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:CEVHUWYHP7KSGB5AM2ZPLUQDRX","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"a350ee03b45f705988db46fb59325048ef0ec74a1355bd4749bb719207422737","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-10-10T03:21:11Z","title_canon_sha256":"bea3f0317e5fdcf56216d52cf502ff5a1d3d55971e6dd6d68898f5ac0f2aca6b"},"schema_version":"1.0","source":{"id":"1210.2795","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.2795","created_at":"2026-05-18T03:43:31Z"},{"alias_kind":"arxiv_version","alias_value":"1210.2795v1","created_at":"2026-05-18T03:43:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.2795","created_at":"2026-05-18T03:43:31Z"},{"alias_kind":"pith_short_12","alias_value":"CEVHUWYHP7KS","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CEVHUWYHP7KSGB5A","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CEVHUWYH","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:3da005f867ed0cd5483f4c87568ef771fa3be862bc57edc38ee2e8fd595ee2e6","target":"graph","created_at":"2026-05-18T03:43:31Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this paper we study the space of morphisms from a complex projective space to a compact smooth toric variety X. It is shown that the first author's stability theorem for the spaces of rational maps from CP^m to CP^n extends to the spaces of continuous morphisms from CP^m to X, essentially, with the same proof. In the case of curves, our result improves the known bounds for the stabilization dimension.","authors_text":"Erendira Munguia-Villanueva, Jacob Mostovoy","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-10-10T03:21:11Z","title":"Spaces of morphisms from a projective space to a toric variety"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.2795","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:e68f9afe9ab95ac6318292a48cc9327c49e728e319c878d16c297f32ced1c62f","target":"record","created_at":"2026-05-18T03:43:31Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"a350ee03b45f705988db46fb59325048ef0ec74a1355bd4749bb719207422737","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-10-10T03:21:11Z","title_canon_sha256":"bea3f0317e5fdcf56216d52cf502ff5a1d3d55971e6dd6d68898f5ac0f2aca6b"},"schema_version":"1.0","source":{"id":"1210.2795","kind":"arxiv","version":1}},"canonical_sha256":"112a7a5b077fd52307a066b2f5d2038dff639bfbda6d5088a329f371863c7d94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"112a7a5b077fd52307a066b2f5d2038dff639bfbda6d5088a329f371863c7d94","first_computed_at":"2026-05-18T03:43:31.514268Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:43:31.514268Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LkE9uJO0N0uVIr/y/d3uV5Xz/VJQJjAxhPGvNQ1Z5q3TShl/wWRu0h6PhDwJRo6x4WHUgep8G2uyMFKxAANkDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:43:31.514990Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.2795","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e68f9afe9ab95ac6318292a48cc9327c49e728e319c878d16c297f32ced1c62f","sha256:3da005f867ed0cd5483f4c87568ef771fa3be862bc57edc38ee2e8fd595ee2e6"],"state_sha256":"e24573d4aed586f85fe5f389f8603d378824a07127206f847fdf70af0394bda3"}